Periodic solutions for seasonal SIQRS models with nonlinear infection terms

Date

2019-07-24

Authors

Guerrero-Flores, Shaday
Osuna, Osvaldo
Vargas-de-Leon, Cruz

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this work, we considered a family of SIRS models for a fatal disease, with seasonal variation in the contact rate and isolation control strategies. We establish the existence of periodic orbits of seasonal SIQRS disease, by using Leray-Schauder degree theory. Examples related to the seasonal variation in respiratory syncytial virus infection are included.

Description

Keywords

Leray-Schauder degree, SIQRS models, Periodic orbits

Citation

Guerrero-Flores, S., Osuna, O., & Vargas-de-León, C. (2019). Periodic solutions for seasonal SIQRS models with nonlinear infection terms. <i>Electronic Journal of Differential Equations, 2019</i>(92), pp. 1-13.

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Attribution 4.0 International

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